Asymptotic properties of the kernel mode estimator under twice censorship model

Zohra Guessoum, Mohamed-Amine Mansouri and Elias Ould Saïd

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 9, 2195-2212

Abstract: In this article, we study the asymptotic properties of the kernel estimator of the mode and density function when the data are twice censored. More specifically, we first establish a strong uniform consistency over a compact set with a rate of the kernel density estimator and then we give the consistency with rate and asymptotic normality for the kernel mode estimator. An application to confidence bands is given.

Date: 2018
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DOI: 10.1080/03610926.2017.1337143

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